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Finding the Third Proportional to 14,491 and 21,497

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Solution

The third proportional to 14,491 and 21,497 is: 31,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491 : 21,497 = 21,497 : x
  2. Step 2: Convert to fraction form
    14,491/21,497 = 21,497/x
  3. Step 3: Cross multiply
    14,491x = 21,497 × 21,497
  4. Step 4: Simplify right side
    14,491x = 462,121,009
  5. Step 5: Solve for x
    x = 462,121,009/14,491
  6. Step 6: Final answer
    x = 31,890.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.